Ordered weighted evaluation method of lifting operation safety risks considering coupling effect

In order to accurately evaluate the safety risk degree of lifting operations and improve the safety control level of lifting operations, firstly, Work Breakdown Structure (WBS) is used to decompose the construction process of lifting operations, Risk Breakdown Structure (RBS) is used to decompose the safety risk, 16 safety risk factors of lifting operations are identified, and the risk evaluation system is constructed. Then, the safety risk assessment model of lifting operations is constructed by integrating risk coupling theory, joint ordered weighting operators, and an interaction matrix to identify key risk factors and safety risk levels. Finally, taking the lifting operation construction project of Yangfanggou Hydropower Station as an example, the evaluation index system and method are applied. The results show that the high-risk safety risks of the lifting operation construction of the project are: 'Low safety awareness causes workers to operate illegally X23', 'Operation error caused by illegal command X33', 'Workers' risky work caused by low safety awareness X34', 'Edge, high and climbing operation protection is not in place X36', and 'Improper binding of components caused by workers' illegal operation X25'. The construction of the lifting operation poses a significant risk level, and the evaluation results are consistent with the actual situation. The rationality of the evaluation system and model constructed in this paper can provide a reference for the safety management and control of the construction site of the lifting operation and the safety of the lifting operation.

factors mainly adopts Bayesian network reasoning and complex network theory.For exanple, Zhang 8 combined system thinking and complex networks for the first time, divided tower crane accidents into 6 levels, identified 34 disaster-causing factors and 10 accident types, and identified 7 key factors and 3 critical paths of tower crane accidents in China.Zhang 9 identified the key causes of tower crane accidents through systematic thinking and case analysis, including workers wrong behavior, insufficient safety training, insufficient safety inspection, low safety awareness, and poor management of safety engineers.Ding Ke et al. 10 analyzed the tower crane injury accident based on the accident cause theory, summarized the accident causes of the tower crane injury accident, and found that the project's own conditions and human effects were the main causes of the tower crane accident.Zheng Xiazhong et al. 11 studied the causes of accidents affecting lifting operations through the Delphi method and concluded that more attention should be paid to those factors that are assessed as highly affecting on-site safety due to tower crane work.Most scholars use complex network parameters 12,13 , Bayesian networks 14 , frequency, etc., to evaluate the causes of lifting accidents, and less consideration is given to the coupling relationship among accident causes.The coupling relationship among accident causes has a huge impact on the occurrence, development, and severity of lifting accidents.In the past, the research on the interaction among risk factors is easy to receive the influence of subjective judgment.The continuous-ordered weighted averaging (C-OWA) operator of combination number realizes the scientific weighting of the subjective data of the survey by improving the data set of the ordered weighted averaging operator.In addition, previous studies have paid less attention to the construction process, and most of them identify the cause of the accident based on the lifting operation accident report.For example, Yang and Jin 15 identified the causes of lifting accidents from a large number of accident reports, and identified the causes of key accidents according to the topological potential theory.Based on a large number of lifting accident reports, Wu et al. 16 used text mining technology to identify risk factors and simulate their coupling relationship.Due to the high technical requirements of lifting operations, the complex construction environment, and the large number of personnel and machinery on the construction site, the lifting operation process is full of uncertainty.However, the previous research has laid a solid foundation for the safety control of lifting operation, but paid a insufficient attention to the construction process of lifting operation and the evaluation of the influence among the risk factors of lifting operation is subjective.
In view of this, according to accident cause theory and system theory, this paper uses work breakdown structure (WBS) 17 to decompose the lifting operation process, risk breakdown structure (RBS) 18 to decompose the safety risk of lifting operation, and constructs the safety risk evaluation system of lifting operation with 16 secondary indexes.Considering the coupling effect among the causes of lifting injury accidents, the continuousordered weighted averaging (C-OWA) 19 operator and the interaction matrix theory 20 are introduced to construct a risk coupling evaluation model for the causes of lifting injury accidents.The C-OWA operator is used to weaken the influence of subjective factors on experts to obtain more objective evaluation results.At the same time, the interaction among accident-causing factors is considered to identify key safety risk factors and propose prevention and control strategies.Then, the risk level of the lifting operation of the project is evaluated to guide the safety control of the lifting operation site and provide a scientific and reasonable assessment method for the risk assessment of the lifting operation.The safety evaluation method of lifting operation based on C-OWA proposed in this paper can provide more comprehensive, accurate and objective evaluation results for the knowledge system, and can provide more scientific and reasonable decision-making basis for decision makers.

Establishment of construction safety risk assessment index system
In order to comprehensively identify the safety risks of lifting operations, a systematic risk assessment index system is constructed.Through literature research and field investigation, the two-level risk identification based on WBS-RBS is carried out under the guidance of Work Breakdown Structure (WBS) 21 and Risk Breakdown Structure (RBS) 22 .The safety risk of lifting operations is identified by four steps: work breakdown structure, risk breakdown structure, coupling interaction analysis, and index correction.
1. Work breakdown structure: According to the principle of WBS work decomposition, the construction process of lifting operations is decomposed into two levels 23 : the first level WBS is decomposed into a lifting preparation stage, a component binding stage, a component lifting stage, and a component unloading stage according to the construction process; combined with the working characteristics of each stage of lifting operations, each level 1 WBS is decomposed into a level 2 WBS according to the characteristics of the process 24 .The decomposition results of level 2 WBS are shown in Table 1. 2. Risk decomposition structure: According to the principle of RBS risk decomposition 25 , the risk source of lifting operation construction is decomposed into two levels of risk, and the first level of RBS is decomposed into 'man-machine environment management' according to the characteristics of the construction project.  2 is listed as a row, and the risk coupling interaction matrix of lifting operation construction is established.If the risk exists, it corresponds to the horizontal and vertical coupling interaction mark '1' , otherwise it marks '0' .Taking the formwork preparation (W 1 ) as an example, W 11 interacts with R 24 and R 43 to generate the risk of 'improper safety supervision causing unreasonable equipment selection and layout' , and so on.Traversing the whole 'risk decomposition coupling interaction matrix' , the two-level decomposition coupling analysis of WBS-RBS is obtained as shown in Table 3.Ten experienced experts with more than 5 years of experience in relevant construction, management and teaching were invited to check and correct the results (5 project managers, 3 lifting construction personnel, 2 construction safety management research professors).Combined with the results of expert correction, the coupling interaction matrix of WBS-RBS for lifting construction was finally obtained.4. Index correction: Based on the initial evaluation index system constructed by WBS-RBS 27 , combined with the opinions and suggestions of experts in the field of lifting operation construction and the experience of relevant practitioners, the initial index system is judged, supplemented, and revised, and the safety risk assessment index system of lifting operations is systematically summarized.The complete index system is shown in Table 4.

Model establishment
The process of safety risk assessment for lifting operations is as follows: Firstly, WBS and RBS are combined to decompose the construction process and safety risk of lifting operations.According to the experience of lifting operation construction experts, the safety risk factors are identified, and the evaluation index system for lifting operation construction is established.Then, according to the expert survey and using the C-OWA operator to calculate the survey data, the coupling matrix of the risk factors of the lifting operation construction is constructed, and the weight of the risk factors is calculated to excavate the key risk factors of the lifting operation construction 28 .Finally, the risk evaluation coefficient of lifting operation construction is calculated, and the risk level is determined.The technical route of the evaluation model is shown in Fig. 1.

Orderly weighted aggregation of lifting operation safety risk
The combination ordered weighted averaging (C-OWA) operator 29 combines the weight and sample data randomly, which effectively reduces the subjective experience value of experts evaluation of lifting operation safety risk factors shown in Table 2 and makes the research results more objective and scientific.In order to obtain more objective survey results, the C-OWA operator is used to calculate the expert score.The calculation steps for the elements on the main diagonal are as follows: Invite m experts to score the indicators (using a 5-point system, the greater the score, the greater the risk) 30 The comprehensive weight set of evaluation index is obtained by using φ h+1 and b h weighted calculation, as shown in Eq. (2): where, Q i is the comprehensive weight of the i-th index, h = 0, 1, 2, …, m−1.
Calculate the relative weight of evaluation index φ i :

The mutual coupling effect of lifting operation safety risk
The interaction matrix 31 is used to identify the key risks of lifting operations.The interaction matrix is a factor interaction matrix composed of many factors in a certain way, which aims to solve the complex problem of multiple influencing factors in the system 32 .Taking the 16 risk indicators of lifting operation construction as an example, the 16 influencing factors are listed on the main diagonal line.The strength of the interaction between the two factors is encoded by 1-5, which represents the interaction of no (1), weak (2), medium (3), strong (4) and strong ( 5), and is listed on the non-diagonal line to form a 16*16 interaction matrix 33 .The interaction matrix is shown in Table 5.
According to the Table 5, in the matrix of 16*16, X 1 , X 2 , …, X 16 is the first lifting operation safety risk index; X ij represents the degree of influence of X i on the system generated by X j .Based on the interaction matrix, the influence of the i-th factor on other factors, the total influence degree, and the weight set can be further calculated, which are C i , E i and K i , respectively, as shown in formulas ( 4)-( 6): Through Eqs.(3-5), after calculating the influence weight set K of the safety risk of lifting operation, combined with the comprehensive weight set Q of each evaluation index risk in Eq. ( 2), the safety risk degree P of lifting operation can be calculated from Eq. ( 6).
Through the calculation of Eqs. ( 4)-( 7), the weight of lifting operation safety risk factors can be quantified and ranked, the key risks can be identified, and the basis for decision-making for risk control can be provided. (1) (2) Yangfanggou Dam is a concrete double-curvature arch dam with a maximum dam height of 155.0 m.The total concrete of Yangfanggou Dam is about 977 thousand m 3 , and the peak strength of concrete pouring is about 54 thousand m 3 per month.According to the results of the bidding design, combined with the strength of concrete pouring, and considering the lifting requirements of the metal structure and leaving a certain margin, three 30 t translational cable cranes are selected to be responsible for the concrete pouring of the dam of the project.
The plane layout pattern of the Yangfanggou cable crane is as follows: the main tower platform and feeding platform of the cable crane are arranged on the left bank, and the auxiliary tower platform is arranged on the right bank; the cable crane platform on the left bank is arranged at an elevation of 2190 m, and the cable crane platform on the right bank is arranged at an elevation of 2185 m.The cable crane span is about 416 m, and the excavation width of the cable crane platform on the left and right banks is 20 m and 15.5 m, respectively.The feeding platform is arranged at an elevation of 2102 m at the top of the dam, and the total width of the platform is 20-50 m.

Risk analysis of the lifting operation of Yangfanggou hydropower project
Yangfanggou is located in the western Sichuan Plateau climate zone.Affected by the southwest monsoon, the temperature difference between day and night is large.April-October is the rainy season, and the rainfall accounts for more than 97% of the year.In summer, the rainfall is concentrated and the frequency of rainstorms is high, which makes it easy to cause geological disasters and affect the lifting operation.The project is located in the middle reaches of the Yalong River, and the complex geological conditions also affect the lifting operation.According to the field investigation and expert interview of the project, combined with the analysis of the risk evaluation index system of the cause of the lifting injury accident, the project is located on a plateau, the environment is harsh, the geological situation is complex, the field construction personnel are numerous, and the field construction machinery is numerous.There is not only a single risk impact on the construction site but also a coupling effect of various accident causes, which has a large hidden danger.Therefore, based on the lifting operation risk evaluation index system and evaluation model, the safety risk of the lifting operation of the project is coupled and evaluated, which provides the basis for on-site safety management and control.

Cable engineering risk value calculation based on the C-OWA operator
According to the constructed risk assessment index system for lifting injury accidents, combined with the operation of the cable crane in the project, 15 experts with more than 10 years of experience in the construction site of lifting operations were invited to score the risk of lifting operation accidents to obtain the initial evaluation matrix A. The score is between 1 and 5.The higher the score, the greater the risk of the index, which includes five project managers, six operators, and two signal workers.In addition, two experts are university teachers who have been engaged in teaching and scientific research in construction safety management for more than 15 years.A total of two rounds of questionnaire distribution and recovery activities were conducted, with a 100% recovery rate.The positive coefficients of the invited experts were qualified.The reliability and validity of the results of www.nature.com/scientificreports/lifting operation accidents were tested by the reliability coefficient method and the factor analysis method.The Cronbach's alpha coefficient was 0.993 > 0.800, the validity coefficient KMO was 0.835 > 0.800, and the reliability and validity test results were good.For example, the scores of the 15 experts in the indicator X 23 are a = [3, 4, . The ranking expert score vector b is obtained by ranking a in descending order, then b = [3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5,  5].The weight φ corresponding to b is obtained from Eq. (1), that is, φ = [1/2 12 , 14/2 12 , 91/2 12 , 364/2 12 , 1001/2 12 , 2002/2 12 , 3003/2 12 , 3432/2 12 , 3003/2 12 , 2002/2 12 , 1001/2 12 , 364/2 12 , 91/2 12 , 14/2 12 , 1/2 12 ].Moreover, the risk value of X 23 is obtained from (2): Q = 4.2119.Similarly, the risk values of the remaining 13 risk indicators can be obtained.The results are shown in Table 7.
It can be seen from Table 7 that the importance degree takes into account the degree of influence and the risk value, which can effectively identify the key security risks.The top five risk importance rankings are: 'Low safety awareness causes workers to operate illegally X 23 ' , 'Operation error caused by illegal command X 33 ' , 'Workers' risky work caused by low safety awareness X 34 ' , 'Edge, high and climbing operation protection is not in place X 36 ' , and 'Improper binding of components caused by workers' illegal operation X 25 ' .At the same time, the key risks to construction safety are concentrated in the component lifting stage, and the risks in the component lifting stage should be controlled in the construction process.

Prevention and control measures for high-risk factors
According to the calculation results of the risk degree of lifting operation in Table 7, the project's 'Low safety awareness causes workers to operate illegally X 23 ' , 'Operation error caused by illegal command X 33 ' , 'Workers' risky work caused by low safety awareness X 34 ' , 'Edge, high and climbing operation protection is not in place X 36 ' , and 'Improper binding of components caused by workers' illegal operation X 25 ' , and other indicators have a high degree of risk, and there are multiple accident causes of coupling.If it continues to develop, it is easy to cause lifting injury accidents 37 .Therefore, it is necessary for all construction participants to pay attention to it and take measures as shown in Table 8 below:

Cable machine engineering risk level calculation
According to the interaction matrix data obtained in "Cable machine engineering risk level calculation" and Formulas 4 and 5, the total influence degree C and the total affected degree E are calculated.The weight of each index is calculated and sorted by Formula (7).The results are shown in Table 7.According to the formula (7), the risk value of the cable crane project is P = 0.4527 < 0.60, that is, the risk level of the project is grade III.This result is consistent with the actual situation of the project because it has complex geological conditions, more on-site work types and mechanical equipment, a long construction period, frequent on-site mechanical operations, and ground settlement caused by concentrated summer rainstorms.The project is in significant danger, and safety control needs to be further strengthened to ensure the safety of the lifting operation site.There are few studies on the influence of coupling among risk factors on lifting accidents in the text.In the future research, we will further consider the coupling effect between risk factors, and based on this, we will evaluate the importance of risk factors and study the safety status of lifting operations.

Discussion
At the construction site, workers' violations can be monitored and reminded in real time through on-site surveillance cameras to correct workers ' unsafe behaviors in a timely manner.With the development of wearable technology, a variety of wearable devices have also been applied to the construction site, such as smart boots: By walking, smart boots can detect the risk of collisions between workers and nearby engineering vehicles equipped with sensors.Smart helmet: By sensing brain waves, smart helmets can detect 'micro-sleep' , which reduces the risk of injury to workers.By wearing sensors to workers, when workers are close to dangerous areas such as borders and high places, they can detect and remind workers in time to reduce safety risks.In view of the series of unsafe behaviors and risky operations caused by the low safety awareness of workers, the most effective way is to strengthen the safety education training and assessment of workers before they go to work, and only those who pass the assessment can go to work.In addition, the effectiveness of management is an important cornerstone of construction site safety management and control.Therefore, it is necessary to strengthen the management responsibility and awareness of managers.

Conclusion
1. Based on WBS work structure decomposition and RBS safety risk decomposition, the construction risk evaluation index system for lifting operations is constructed.Combining system theory and safety risk theory, the construction safety risk of tower building platforms is identified, and the construction risk evaluation index system of tower building platforms with 16 indexes is constructed.2. A coupling evaluation model of lifting operation safety risk is constructed.The risk coupling theory is introduced to analyze the interaction between human factors, machine factors, ring factors, and pipe factors in the lifting operation system.An evaluation model based on the C-OWA operator and interaction matrix is constructed, and the risk level is calculated to provide a safety control basis for lifting operations.3. Combined with the actual project case to verify the rationality of the evaluation index system and evaluation method According to the field survey data and the evaluation model, the cable crane project is calculated to be at a significant risk level, which is consistent with the actual situation.Based on the evaluation model, the causes of high-risk accidents in the project are analyzed, and suggestions for improvement are put forward so as to reduce the risk of lifting operations and ensure their safety.
, and set m experts to score to obtain the initial evaluation matrix A = [a 1 , a 2 , …, a m ].The initial evaluation matrix A is sorted in descending order and numbered from 0 to obtain a descendingorder matrix, B = [b 0 , b 1 , b 2 , …, a m−1 ] and b 0 ≥ b 1 ≥ b 2 ≥ ⋯ ≥ b m−1 .Let the weighted weight vector of bh in matrix B be φ = [φ 1 , φ 2 , …, φ m ], as shown in Eq. (1): This paper may have the limitations.(1) Strong subjectivity: the risk factors identification and influencing factors of lifting operation construction in this paper are obtained through expert consultation.Different experts may have different results, which leads to certain limitations of the evaluation results; (2) Limitations of data sources: due to the complexity and uncertainty of the construction site, it is difficult to collect complete and accurate data, and the research object and example verification in this paper are based on Chinese data, data acquisition has certain limitations; (3) Lack of dynamic: The environment and conditions of the lifting construction site

Table 1 .
Two-level WBS decomposition of lifting operation process.

preparation: W 1 Component binding: W 2 Component lifting: W 3 Component unloading: W 4
Combined with the first-level decomposition characteristics, all potential risk factors are determined to construct a second-level RBS, and the second-level RBS decomposition results are shown in Table2.3. Coupling interaction analysis 26 : The WBS work decomposition in Table 1 is set as a column, and the RBS risk decomposition in Table

Table 2 .
Two-level RBS decomposition of lifting operation process.
Man risk: R

1 Machine risk: R 2 Material risk: R 3 Method risk: R 4 Environment risk: R 5
Low safety awareness: R 11 Equipment out of the factory with disease: R 21 Poor quality of the suspension: R 31 Improper investigation of safety hazards: R 41 Extreme weather conditions: R 31 Wildcat operatio: R 12 Balance of plant fault: R 22 Poor quality of spreader: R 32 Improper safety education and training: R 42 Cross operation: R 32 Unlicensed employment: R 13 Improper maintenance: R 23 -There is no full-time supervisor on site: R 43 Poor hydrogeological conditions: R 33 Improper use of safety protective equipment: R 14 Limiter failure: R 24 -Improper special construction scheme: R 44 Lack of on-site warning signs: R 34 Violate commanding: R 15 Improper equipment layout: R

Table 3 .
Two -level WBS-RBS decomposition of lifting operation process.W

Table 5 .
Crane injury accident causation interaction matrix.The Yangfanggou Hydropower Station is located on the middle reaches of the Yalong River in Muli County, Liangshan Yi Autonomous Prefecture, Sichuan Province (part of the project area is located in Jiulong County, Ganzi Prefecture).The dam site of the power station is about 450 m away from the downstream Yangfanggou estuary.The Yangfanggou Hydropower Station is the sixth stage of the seventh-level development of the first reservoir in the middle reaches of the Yalong River.It is 37 km from the Mengdigou Hydropower Station and 33 km from the Kala Hydropower Station.The dam site of the power station is about 235 km away from the highway in Xichang and about 156 km away from Muli County.

Table 6 .
Safety risk level of crane operation.

Table 7 .
Weight and importance of risk factors in lifting operation construction.

Weight Weight sorting Importance degree Importance sorting
www.nature.com/scientificreports/may change over time, but the method proposed in this paper is difficult to update and adjust in real time, and cannot reflect the dynamic changes of the construction site.

Table 8 .
Prevention and control strategy of high risk causes of lifting operation.Low safety awareness causes workers to operate illegally Safety education and training should be carried out before the operation of relevant operators, and a safety education assessment should be carried out.Only those who pass the assessment can work on duty X 33 Operation error caused by illegal command Safety education and training should be carried out before the operation of relevant operators, and a safety education assessment should be carried out.Only those who pass the assessment can work on duty X 34 Workers' risky work caused by low safety awareness Implement the ' reward and punishment mechanism ' , encourage reporting violations and give corresponding rewards, and give corresponding punishments for discovered violations, so as to improve the safety and production efficiency of lifting workers X 36 Edge, high and climbing operation protection is not in place Regularly carry out safety hazards investigations, implement ' reward mechanisms, encourage reporting safety hazards and give corresponding rewards, find safety hazards, and deal with them in time to avoid accidents caused by safety hazards X 21 Improper binding of components caused by workers' illegal operation Safety education and training should be carried out before the operation of relevant operators, and a safety education assessment should be carried out.Only those who pass the assessment can work on duty